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othographic and perspective projections interacting?

Hello,

In my OpenGLES 2.0 app, I am drawing some cubes with a perspective projection. Then I draw some with an orthographic projection. The orthographic cube is always drawn on top of the perspective ones -- why is that? Is there any way to get them to intersect? I am not sure what that would mean -- I am just wondering how it all works. What happens to the depth information if you change the projection matrix between object draws?